TSTP Solution File: SET614+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET614+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:56:07 EDT 2023

% Result   : Theorem 2.96s 3.36s
% Output   : Proof 2.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08  % Problem  : SET614+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.09  % Command  : nanocop.sh %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Thu May 18 19:23:19 EDT 2023
% 0.07/0.27  % CPUTime  : 
% 2.96/3.36  
% 2.96/3.36  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 2.96/3.36  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.96/3.36  %-----------------------------------------------------
% 2.96/3.36  ncf(matrix, plain, [(179 ^ _30359) ^ [] : [difference(difference(175 ^ [], 176 ^ []), 177 ^ []) = difference(175 ^ [], union(176 ^ [], 177 ^ []))], (48 ^ _30359) ^ [_32031, _32033, _32035, _32037] : [-(difference(_32037, _32033) = difference(_32035, _32031)), _32037 = _32035, _32033 = _32031], (58 ^ _30359) ^ [_32370, _32372, _32374, _32376] : [-(union(_32376, _32372) = union(_32374, _32370)), _32376 = _32374, _32372 = _32370], (2 ^ _30359) ^ [_30503] : [-(_30503 = _30503)], (4 ^ _30359) ^ [_30610, _30612] : [_30612 = _30610, -(_30610 = _30612)], (10 ^ _30359) ^ [_30814, _30816, _30818] : [-(_30818 = _30814), _30818 = _30816, _30816 = _30814], (20 ^ _30359) ^ [_31155, _31157, _31159, _31161] : [-(subset(_31159, _31155)), subset(_31161, _31157), _31161 = _31159, _31157 = _31155], (34 ^ _30359) ^ [_31579, _31581, _31583, _31585] : [-(member(_31583, _31579)), member(_31585, _31581), _31585 = _31583, _31581 = _31579], (78 ^ _30359) ^ [_33018, _33020, _33022] : [79 ^ _30359 : [(80 ^ _30359) ^ [] : [member(_33018, _33022)], (82 ^ _30359) ^ [] : [member(_33018, _33020)]], -(member(_33018, union(_33022, _33020)))], (68 ^ _30359) ^ [_32750, _32752, _32754] : [member(_32750, union(_32754, _32752)), -(member(_32750, _32754)), -(member(_32750, _32752))], (86 ^ _30359) ^ [_33361, _33363, _33365] : [member(_33361, difference(_33365, _33363)), 89 ^ _30359 : [(90 ^ _30359) ^ [] : [-(member(_33361, _33365))], (92 ^ _30359) ^ [] : [member(_33361, _33363)]]], (94 ^ _30359) ^ [_33613, _33615, _33617] : [-(member(_33613, difference(_33617, _33615))), member(_33613, _33617), -(member(_33613, _33615))], (104 ^ _30359) ^ [_33962, _33964] : [_33964 = _33962, 107 ^ _30359 : [(108 ^ _30359) ^ [] : [-(subset(_33964, _33962))], (110 ^ _30359) ^ [] : [-(subset(_33962, _33964))]]], (112 ^ _30359) ^ [_34199, _34201] : [-(_34201 = _34199), subset(_34201, _34199), subset(_34199, _34201)], (122 ^ _30359) ^ [_34485, _34487] : [-(union(_34487, _34485) = union(_34485, _34487))], (134 ^ _30359) ^ [_34943, _34945] : [136 ^ _30359 : [(137 ^ _30359) ^ [] : [-(member(135 ^ [_34943, _34945], _34945))], (139 ^ _30359) ^ [] : [member(135 ^ [_34943, _34945], _34943)]], -(subset(_34945, _34943))], (124 ^ _30359) ^ [_34629, _34631] : [subset(_34631, _34629), 127 ^ _30359 : [(128 ^ _30359) ^ [_34766] : [member(_34766, _34631), -(member(_34766, _34629))]]], (143 ^ _30359) ^ [_35271] : [-(subset(_35271, _35271))], (161 ^ _30359) ^ [_35904, _35906] : [-(_35906 = _35904), 165 ^ _30359 : [(166 ^ _30359) ^ [] : [-(member(162 ^ [_35904, _35906], _35906))], (168 ^ _30359) ^ [] : [member(162 ^ [_35904, _35906], _35904)]], 169 ^ _30359 : [(170 ^ _30359) ^ [] : [-(member(162 ^ [_35904, _35906], _35904))], (172 ^ _30359) ^ [] : [member(162 ^ [_35904, _35906], _35906)]]], (145 ^ _30359) ^ [_35387, _35389] : [_35389 = _35387, 148 ^ _30359 : [(149 ^ _30359) ^ [_35553] : [member(_35553, _35389), -(member(_35553, _35387))], (155 ^ _30359) ^ [_35725] : [member(_35725, _35387), -(member(_35725, _35389))]]]], input).
% 2.96/3.36  ncf('1',plain,[difference(difference(175 ^ [], 176 ^ []), 177 ^ []) = difference(175 ^ [], union(176 ^ [], 177 ^ []))],start(179 ^ 0)).
% 2.96/3.36  ncf('1.1',plain,[-(difference(difference(175 ^ [], 176 ^ []), 177 ^ []) = difference(175 ^ [], union(176 ^ [], 177 ^ []))), 168 : member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))), 172 : member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))],extension(161 ^ 1,bind([[_35904, _35906], [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])]]))).
% 2.96/3.36  ncf('1.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ []), -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])))],extension(94 ^ 4,bind([[_33613, _33615, _33617], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ []), 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ [])), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(175 ^ [], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))), -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])))],extension(68 ^ 5,bind([[_32750, _32752, _32754], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []), 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.1.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(175 ^ [], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])))), 82 : member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))],extension(78 ^ 6,bind([[_33018, _33020, _33022], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []), 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.1.1.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])), 162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])] = 162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []) = difference(difference(175 ^ [], 176 ^ []), 177 ^ [])],extension(34 ^ 9,bind([[_31579, _31581, _31583, _31585], [difference(difference(175 ^ [], 176 ^ []), 177 ^ []), difference(difference(175 ^ [], 176 ^ []), 177 ^ []), 162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])]]]))).
% 2.96/3.36  ncf('1.1.1.1.1.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])))],extension(166 ^ 10)).
% 2.96/3.36  ncf('1.1.1.1.1.1.2',plain,[-(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])] = 162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])])],extension(2 ^ 10,bind([[_30503], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])]]]))).
% 2.96/3.36  ncf('1.1.1.1.1.1.3',plain,[-(difference(difference(175 ^ [], 176 ^ []), 177 ^ []) = difference(difference(175 ^ [], 176 ^ []), 177 ^ []))],extension(2 ^ 10,bind([[_30503], [difference(difference(175 ^ [], 176 ^ []), 177 ^ [])]]))).
% 2.96/3.36  ncf('1.1.1.1.2',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])), 90 : -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ [])))],extension(86 ^ 6,bind([[_33361, _33363, _33365], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], difference(175 ^ [], 176 ^ [])]]))).
% 2.96/3.36  ncf('1.1.1.1.2.1',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ [])), 90 : -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ []))],extension(86 ^ 9,bind([[_33361, _33363, _33365], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ [], 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.1.1.2.1.1',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ [])],reduction('1.1.1')).
% 2.96/3.36  ncf('1.1.1.2',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])), -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ [])), -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ []))],extension(68 ^ 5,bind([[_32750, _32752, _32754], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], 176 ^ []]]))).
% 2.96/3.36  ncf('1.1.1.2.1',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ []), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))],extension(86 ^ 6,bind([[_33361, _33363, _33365], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ [], 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.1.2.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))],extension(86 ^ 7,bind([[_33361, _33363, _33365], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], difference(175 ^ [], 176 ^ [])]]))).
% 2.96/3.36  ncf('1.1.1.2.1.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])))],extension(166 ^ 8)).
% 2.96/3.36  ncf('1.1.1.2.2',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ []), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))],extension(86 ^ 6,bind([[_33361, _33363, _33365], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], difference(175 ^ [], 176 ^ [])]]))).
% 2.96/3.36  ncf('1.1.1.2.2.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])))],extension(166 ^ 7)).
% 2.96/3.36  ncf('1.1.2',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ [])), -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ []))],extension(94 ^ 4,bind([[_33613, _33615, _33617], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], difference(175 ^ [], 176 ^ [])]]))).
% 2.96/3.36  ncf('1.1.2.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ []), -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ []))],extension(94 ^ 5,bind([[_33613, _33615, _33617], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ [], 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.2.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ [])), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(175 ^ [], difference(175 ^ [], union(176 ^ [], 177 ^ [])))), -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))))],extension(68 ^ 6,bind([[_32750, _32752, _32754], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])), 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.2.1.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(175 ^ [], difference(175 ^ [], union(176 ^ [], 177 ^ []))))), 82 : member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))],extension(78 ^ 7,bind([[_33018, _33020, _33022], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])), 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.2.1.1.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))))],extension(170 ^ 10)).
% 2.96/3.36  ncf('1.1.2.1.1.2',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))), 90 : -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ []))],extension(86 ^ 7,bind([[_33361, _33363, _33365], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ []), 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.2.1.1.2.1',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ [])],reduction('1.1.2.1')).
% 2.96/3.36  ncf('1.1.2.1.2',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ []), -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])))],extension(78 ^ 6,bind([[_33018, _33020, _33022], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], 176 ^ []]]))).
% 2.96/3.36  ncf('1.1.2.1.2.1',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))],extension(86 ^ 7,bind([[_33361, _33363, _33365], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ []), 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.2.1.2.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))))],extension(170 ^ 8)).
% 2.96/3.36  ncf('1.1.2.2',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ []), -(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])))],extension(78 ^ 5,bind([[_33018, _33020, _33022], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], 176 ^ []]]))).
% 2.96/3.36  ncf('1.1.2.2.1',plain,[member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])), member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))],extension(86 ^ 6,bind([[_33361, _33363, _33365], [162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ []), 175 ^ []]]))).
% 2.96/3.36  ncf('1.1.2.2.1.1',plain,[-(member(162 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))))],extension(170 ^ 7)).
% 2.96/3.36  %-----------------------------------------------------
% 2.96/3.36  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------